The K371 is a headphone made by AKG
Yes. The “Akustische und Kino-Geräte Gesellschaft” is known for their microphones and headphones, and by the name AKG.
They got purchased by Harman which was bought by Samsung.
Thought I might add something useful in here 
This song here has some insanely deep bass (Lorn does that a lot):
I like that particular song best in the wierd combination “Panasonic RP-HD10” (kinda wierdly flawed Headphones, very comfortable though) fed from my Emotiva BasX A-100 (which I have lightly modded).
No shame in liking some extra bass.
If you want bass quantity, rule of thumb is closed back.
I also own PortaPro’s. They have absolutely no business sounding as good as they do.
Concerning “sharp highs”, you might be looking for what is called a “warm” signature. Imagine a V, but the high part removed.